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Finding the Third Proportional to 29,939 and 41,627.34

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Solution

The third proportional to 29,939 and 41,627.34 is: 57,878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,939 : 41,627.34 = 41,627.34 : x
  2. Step 2: Convert to fraction form
    29,939/41,627.34 = 41,627.34/x
  3. Step 3: Cross multiply
    29,939x = 41,627.34 × 41,627.34
  4. Step 4: Simplify right side
    29,939x = 1,732,835,747.68
  5. Step 5: Solve for x
    x = 1,732,835,747.68/29,939
  6. Step 6: Final answer
    x = 57,878.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.